document.write( "Question 669677: State the solution set to the inequality (x-1)^2>1 using interval notation. \n" ); document.write( "

Algebra.Com's Answer #416526 by DrBeeee(684) $\"\"$ $\"About$

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Given
\n" ); document.write( "(1) (x-1)^2 > 1 or
\n" ); document.write( "(2) x^2 - 2*x + 1 > 1 or
\n" ); document.write( "(3) x^2 - 2*x > 0 or
\n" ); document.write( "(4) x*(x-2) > 0
\n" ); document.write( "One solution space is
\n" ); document.write( "(5) x > 2 which makes both factors on the left positive so the product is greater than zero.
\n" ); document.write( "The other solution space is
\n" ); document.write( "(6) x < 0, wherein both factors on the left are negative, which makes their produt positive or greater than zero.
\n" ); document.write( "The interval NOT allowed is the strip
\n" ); document.write( "(7) 0 < x < 2
\n" ); document.write( "Answer: x<0 and/or x>2. \n" ); document.write( "

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